Answer:
Option 2 - Step 2
Explanation:
Given : Leticia simplified an expression. Her work is shown below.
Expression -
![4.5/ (1)/(4)+2(1)/(2)-.75* 8](https://img.qammunity.org/2020/formulas/mathematics/middle-school/mp5opj53cujvbublanv46u501bt58uu1b1.png)
Step 1 -
![18+2(1)/(2)-.75* 8](https://img.qammunity.org/2020/formulas/mathematics/middle-school/w7s3p16184ub3kvq21to61fep56ucxnoc2.png)
Step 2 -
![18+1.75* 8](https://img.qammunity.org/2020/formulas/mathematics/middle-school/fe6wf1y9suffcs7ucfp3vffxnud156yr9m.png)
Step 3 -
![18+14](https://img.qammunity.org/2020/formulas/mathematics/middle-school/447m4s9jer1dal3nuov2lb77ykekscq9k8.png)
Step 4 -
![32](https://img.qammunity.org/2020/formulas/mathematics/middle-school/kgwxyguywlfh6okt3b6hmoqosrs92lou3y.png)
To find : Where did Leticia make her first mistake?
Solution :
Expression -
![4.5/ (1)/(4)+2(1)/(2)-.75* 8](https://img.qammunity.org/2020/formulas/mathematics/middle-school/mp5opj53cujvbublanv46u501bt58uu1b1.png)
Step 1 -
![18+2(1)/(2)-0.75* 8](https://img.qammunity.org/2020/formulas/mathematics/middle-school/t5mtp3lt60n9kxuhrvjun6f93gek29qqip.png)
As
Step 1 is correct.
Step 2-
![18+1.75* 8](https://img.qammunity.org/2020/formulas/mathematics/middle-school/fe6wf1y9suffcs7ucfp3vffxnud156yr9m.png)
Step 2 is in correct first we solve multiply term.
Now steps are as follow,
Step 2 -
![18+2(1)/(2)-6](https://img.qammunity.org/2020/formulas/mathematics/middle-school/6ciwzwvrr7uclt3ahh9bj9uf7z1z9iw69q.png)
As
![0.75* 8=6](https://img.qammunity.org/2020/formulas/mathematics/middle-school/rhoo0ktd8mq7zwvj99hnnv0kxin72b1rz7.png)
Step 3 -
![20.5-6](https://img.qammunity.org/2020/formulas/mathematics/middle-school/5ppgllm0nt1s0h8z41m7fxc6kwof8mfkt7.png)
As
![18+2(1)/(2)=20.5](https://img.qammunity.org/2020/formulas/mathematics/middle-school/jutb380h1fbmq7rw487c8ilkk2y5eqfnqe.png)
Step 4 -
![20.5-6](https://img.qammunity.org/2020/formulas/mathematics/middle-school/5ppgllm0nt1s0h8z41m7fxc6kwof8mfkt7.png)
As
![20.5-6=14.5](https://img.qammunity.org/2020/formulas/mathematics/middle-school/3ddtcar61ixehoe22r00shkwaxn78vq5n8.png)
Therefore, Step 2 is incorrect.
So, option 2 is correct.